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Finding the Fourth Proportional to 3,401.69, 4,694.51 and 1,909.53

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Solution

The fourth proportional to 3,401.69, 4,694.51 and 1,909.53 is: 2,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.69 : 4,694.51 = 1,909.53 : x
  2. Step 2: Convert to fraction form
    3,401.69/4,694.51 = 1,909.53/x
  3. Step 3: Cross multiply
    3,401.69x = 4,694.51 × 1,909.53
  4. Step 4: Simplify right side
    3,401.69x = 8,964,298.13
  5. Step 5: Solve for x
    x = 8,964,298.13/3,401.69
  6. Step 6: Final answer
    x = 2,635.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.